As far as finding strong faculty, brokenmoped, a few tips:
-I, and I think pretty much anyone else on this board, think that fit--a match in research interests--is the best indicator of "strong" faculty, as anyone employed by a graduate program is more than likely to be a great scholar. Here are a few tips for finding faculty who are a good match:
-Which scholars' work have you come across and enjoyed/been influenced by?
-Look through scholarly journals for 20th century American or whatever your eventual field will be. Who wrote the articles you like best? You can also think not just in terms of subject area but in terms of methodology--even someone who studies a different area may have a theoretical approach that interests you.
-Where did the professors who work in your area of interest go to school? Are they faculty they worked with still there?
-Look through websites of programs you're interested in attending. Often, faculty interests will be listed there--and sometimes, faculty will even be broken down into fields.
-Work your way through US News or other rankings, and see if there are faculty who match your interests at the schools they list.
As you do all of this, think of sentences like, "So-and-so's interest in X is directly related to my interest in Y"; "So-and-so's work on X will help me expand my knowledge of Y"; "So-and-so's work on X will give me a new lens through which to consider Y." Statements like this will eventually become the fit paragraph of your SOP.
-In addition to fit, the other question you'll have to ask yourself once you've found scholars who match your interests is whether you would actually enjoy working with them. Are they warm and friendly or cold and arrogant? But that's a harder question to answer until you've been admitted to a program and have a chance to meet/converse with them.
-Superstar faculty--the big names with all the accolades--aren't always the best bet, as they may have too much else going on to be good advisors and advocates for you. (This isn't always the case, of course, but in order to woo superstar faculty, schools sometimes have to make concessions like not requiring them to teach as much, and those concessions don't always serve you well as a student. This doesn't mean that you should avoid reaching for the (super)stars, but make sure there are other people in the department you could work with in addition to them.
Hope this helps! And best of luck to you!
PS: Just saw a cup of coffee's reply above. Good advice there! Looking at funding and placement rates is a really good way to evaluate a program overall and is also an essential part of the process--I just focused here on how I found faculty to target.